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Finding the Third Proportional to 144,144.56 and 219,770.72

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Solution

The third proportional to 144,144.56 and 219,770.72 is: 335,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,144.56 : 219,770.72 = 219,770.72 : x
  2. Step 2: Convert to fraction form
    144,144.56/219,770.72 = 219,770.72/x
  3. Step 3: Cross multiply
    144,144.56x = 219,770.72 × 219,770.72
  4. Step 4: Simplify right side
    144,144.56x = 48,299,168,819.89
  5. Step 5: Solve for x
    x = 48,299,168,819.89/144,144.56
  6. Step 6: Final answer
    x = 335,074.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.